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Global solutions and self-similar solutions of semilinear wave equation

Abstract : We prove existence, uniqueness and regularity results for the global solutions of the semilinear wave equations. In particular, we show existence of regular self-similar solutions. Also, we build some finite-energy asymptotically self-similar solutions.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00693620
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Submitted on : Wednesday, May 2, 2012 - 6:58:27 PM
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Francis Ribaud, A Youssfi. Global solutions and self-similar solutions of semilinear wave equation. Mathematische Zeitschrift, Springer, 2002, 239 (2), pp.231--262. ⟨10.1007/s002090100293⟩. ⟨hal-00693620⟩

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